Aircraft: B777
Phase of flight: Cruise
Anomaly: Deviation / Discrepancy - Procedural Published Material / Policy; Flight Deck / Cabin / Aircraft Event Illness / Injury; Inflight Event / Encounter Weather / Turbulence

Flight encountered moderate turbulence at FL380 near RADOK intersection. I was on my rest break in the flight crew rest bunks. The FO was the PIC (Pilot in Command) and the PF (Pilot Flying) and the [Relief Pilot] as PM (Pilot Monitoring). Some minutes after the turbulence I called the flight deck from the flight crew rest bunk. I spoke with the [Relief Pilot] and was informed there were no injuries reported; however; meals that were being prepared in the aft galley were tossed to the floor and some galley carts had tipped over.We discussed the intensity of the turbulence and it was agreed to be consistent with the moderate turbulence intensity as described in the FOM. A message was sent to Dispatch and acknowledged. The cabin crew made a lengthy PA announcement that the meal service would not be available due to the turbulence encounter. After I excited the flight crew rest facility I found the Purser and discussed the situation with her in the forward galley. I inquired if anything was broken and if special cleaning would need to be arraigned for broken service items or spilled liquids. I was rather surprised to now learn that six of the cabin crewmembers were reporting various minor injuries. The Purser requested paramedics and flight service supervisors to be available upon arrival.After gate arrival; I was summoned by the Purser to help with an issue at the 2L entry door. The paramedics were preventing the passengers from deplaning. The paramedics were insisting any cabin crew requesting medical assistance to deplane ahead of the passengers. After being told the FAs could not leave with passengers still on the aircraft; the paramedics insisted they be allowed to proceed to the aft of the aircraft and treat the cabin crew. The paramedics were asking to have the passengers re-take their seats so they could come aboard. The entire crew was at their stations for deplaning and passengers were standing up and blocking all the isles. I had to insist that they allow the passengers to deplane and per the purser's request; wait to treat any crew requesting care. The paramedics said they were not willing to wait and if anyone needed treatment they would have to make a new request when ready.The paramedics left the gate area and the passengers began deplaning. After the last passengers had deplaned the cabin crew all gathered their own luggage and deplaned. Those that were requesting medical attention waited on the jet bridge with the Purser; me; the flight service supervisors; and the Gate Agent. One of the flight attendants that mentioned she had some back muscle spasm chose to leave to catch a commuter flight home. After confirming that the ZZZ [Company] medical facility was open; it was suggested as an option rather than waiting for the EMTs to return to the gate. There was no interest in that option from the cabin crew and choice was made to just wait for the EMTs. I had the Purser circle the names on the list of the crewmembers that were reporting injuries. From the flight deck I placed a call to Dispatch to see if there was any information they needed. B777 Captain reported experiencing moderate turbulence in cruise; resulting in injuries to flight attendants.